A234092 - OEIS

%I #10 Jan 18 2014 16:23:53

%S 1,2,2,2,2,3,2,2,3,2,3,2,2,3,3,3,3,3,2,2,3,3,3,2,4,3,2,3,3,2,2,3,3,3,

%T 3,4,3,3,3,4,3,3,3,3,2,2,3,3,3,3,4,3,2,4,3,4,3,3,3,4,4,3,2,3,3,3,2,2,

%U 3,3,3,3,4,3,3,4,3,4,3,3,4,4,4,4,3,2

%N Limit of v(m,n) as m->oo, where v(m,n) is the number of distinct terms in the n-th partition of m in Mathematica (lexicographic) ordering of the partitions of m.

%C Limiting row of A115623.

%e In Mathematica ordering, the 9th partition of n >= 8 is [n-4,3,1].  Thus, v(n,9) = 3 for n all n >= 8, so a(n) = 3.

%t Table[Length[Union[IntegerPartitions[40][[k]]]], {k, 1, 150}]

%Y Cf. A115623.

%K nonn

%O 1,2

%A _Clark Kimberling_, Dec 26 2013